CPL - Chalmers Publication Library
| Utbildning | Forskning | Styrkeområden | Om Chalmers | In English In English Ej inloggad.

Further results on consensus formation in the Deffuant model

Olle Häggström (Institutionen för matematiska vetenskaper, matematisk statistik) ; Timo Hirscher (Institutionen för matematiska vetenskaper)
Electronic Journal of Probability (1083-6489). Vol. 19 (2014), p. artikel nr 19.
[Artikel, refereegranskad vetenskaplig]

The so-called Deffuant model describes a pattern for social interaction, in which two neighboring individuals randomly meet and share their opinions on a certain topic, if their discrepancy is not beyond a given threshold θ. The major focus of the analyses, both theoretical and based on simulations, lies on whether these single interactions lead to a global consensus in the long run or not. First, we generalize a result of Lanchier for the Deffuant model on Z, determining the critical value for θ at which a phase transition of the long term behavior takes place, to other distributions of the initial opinions than i.i.d. uniform on [0,1]. Then we shed light on the situations where the underlying line graph Z is replaced by higher-dimensional lattices Z^d, d≥2, or the infinite cluster of supercritical i.i.d. bond percolation on these lattices.

Nyckelord: Deffuant model; consensus formation; percolation.



Denna post skapades 2014-03-14. Senast ändrad 2016-07-04.
CPL Pubid: 195072

 

Läs direkt!

Lokal fulltext (fritt tillgänglig)

Länk till annan sajt (kan kräva inloggning)


Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)
Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

Ämnesområden

Sannolikhetsteori och statistik

Chalmers infrastruktur

Relaterade publikationer

Denna publikation ingår i:


Consensus formation in the Deffuant model


Interacting particle systems for opinion dynamics: the Deffuant model and some generalizations